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Finding the Fourth Proportional to 287.90, 433.40 and 262.38

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Solution

The fourth proportional to 287.90, 433.40 and 262.38 is: 394.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.90 : 433.40 = 262.38 : x
  2. Step 2: Convert to fraction form
    287.90/433.40 = 262.38/x
  3. Step 3: Cross multiply
    287.90x = 433.40 × 262.38
  4. Step 4: Simplify right side
    287.90x = 113,715.49
  5. Step 5: Solve for x
    x = 113,715.49/287.90
  6. Step 6: Final answer
    x = 394.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.